ON THE CUBIC EDGE-TRANSITIVE GRAPHS OF ORDER $58p2$

laleh pourmokhtar, Mehdi Alaeiyan

Abstract


A graph is called edge-transitive, if its full automorphismgroup acts transitively on its edge set. In this paper, we inquire theexistence of connected edge-transitive cubic graphs of order 58p2foreach prime p. It is shown that only for p = 29, there exists a uniqueedge-transitive cubic graph of order 58p2.

DOI : http://dx.doi.org/10.22342/jims.21.2.193.117-126


Keywords


edge-transitive graphs, symmetric graphs, semisymmetric graphs, s-regular graphs, regular coverings

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DOI: https://doi.org/10.22342/jims.21.2.193.117-126

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Journal of the Indonesian Mathematical Society
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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